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13076534538 = 2341710346099
BaseRepresentation
bin11000010110110110…
…00001010100001010
31020202022210210010000
430023123001110022
5203240043101123
610001323303430
7642022465254
oct141333012412
936668723100
1013076534538
1156003a9a41
12264b37ab76
1313051ba902
148c09accd4
1551801db43
hex30b6c150a

13076534538 has 80 divisors (see below), whose sum is σ = 31326609600. Its totient is φ = 4062524544.

The previous prime is 13076534531. The next prime is 13076534543. The reversal of 13076534538 is 83543567031.

13076534538 is a `hidden beast` number, since 13 + 0 + 76 + 5 + 34 + 538 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 13076534493 and 13076534502.

It is not an unprimeable number, because it can be changed into a prime (13076534531) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 260613 + ... + 306711.

It is an arithmetic number, because the mean of its divisors is an integer number (391582620).

Almost surely, 213076534538 is an apocalyptic number.

13076534538 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13076534538, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15663304800).

13076534538 is an abundant number, since it is smaller than the sum of its proper divisors (18250075062).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13076534538 is a wasteful number, since it uses less digits than its factorization.

13076534538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46233 (or 46224 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 13076534538 in words is "thirteen billion, seventy-six million, five hundred thirty-four thousand, five hundred thirty-eight".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 81 102 103 153 162 206 306 309 459 618 918 927 1377 1751 1854 2754 2781 3502 5253 5562 8343 10506 15759 16686 31518 46099 47277 92198 94554 138297 141831 276594 283662 414891 783683 829782 1244673 1567366 2351049 2489346 3734019 4702098 4748197 7053147 7468038 9496394 14106294 14244591 21159441 28489182 42318882 42733773 63478323 80719349 85467546 126956646 128201319 161438698 242158047 256402638 384603957 484316094 726474141 769207914 1452948282 2179422423 4358844846 6538267269 13076534538